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Finding the Fourth Proportional to 838.08, 1,156.14 and 543.51

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Solution

The fourth proportional to 838.08, 1,156.14 and 543.51 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,156.14 = 543.51 : x
  2. Step 2: Convert to fraction form
    838.08/1,156.14 = 543.51/x
  3. Step 3: Cross multiply
    838.08x = 1,156.14 × 543.51
  4. Step 4: Simplify right side
    838.08x = 628,373.65
  5. Step 5: Solve for x
    x = 628,373.65/838.08
  6. Step 6: Final answer
    x = 749.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.